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Aloiza [94]
3 years ago
15

The Food and Drug Administration (FDA) is a U.S. government agency that regulates (you guessed it) food and drugs for consumer s

afety. One thing the FDA regulates is the allowable insect parts in various foods. You may be surprised to know that much of the processed food we eat contains insect parts. An example is flour. When wheat is ground into flour, insects that were in the wheat are ground up as well. The mean number of insect parts allowed in 100 grams (about 3 ounces) of wheat flour is 75. If the FDA finds more than this number, they conduct further tests to determine if the flour is too contaminated by insect parts to be fit for human consumption.
The FDA takes a random sample of 35 bags of flour for evaluation and finds that they contain an average of 80 insect parts per 100 grams, with a standard deviation of 6.3. Which hypothesis test should be used to determine whether the sample contains more than the allowed 75 insect parts per 100 grams?
Mathematics
1 answer:
kati45 [8]3 years ago
5 0

Answer:

the reason they do this is 1 nutrition, and two the bugs have special parts in their body that help the food keep it fresh.(kind of like salt)

Step-by-step explanation:

hope dis helps <3

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It is estimated that 75% of all young adults between the ages of 18-35 do not have a landline in their homes and only use a cell
Mademuasel [1]

Answer:

a) 75

b) 4.33

c) 0.75

d) 3.2 \times 10^{-13} probability that no one in a simple random sample of 100 young adults owns a landline

e) 6.2 \times 10^{-61} probability that everyone in a simple random sample of 100 young adults owns a landline.

f) Binomial, with n = 100, p = 0.75

g) 4.5 \times 10^{-8} probability that exactly half the young adults in a simple random sample of 100 do not own a landline.

Step-by-step explanation:

For each young adult, there are only two possible outcomes. Either they do not own a landline, or they do. The probability of an young adult not having a landline is independent of any other adult, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

75% of all young adults between the ages of 18-35 do not have a landline in their homes and only use a cell phone at home.

This means that p = 0.75

(a) On average, how many young adults do not own a landline in a random sample of 100?

Sample of 100, so n = 100

E(X) = np = 100(0.75) = 75

(b) What is the standard deviation of probability of young adults who do not own a landline in a simple random sample of 100?

\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{100(0.75)(0.25)} = 4.33

(c) What is the proportion of young adults who do not own a landline?

The estimation, of 75% = 0.75.

(d) What is the probability that no one in a simple random sample of 100 young adults owns a landline?

This is P(X = 100), that is, all do not own. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 100) = C_{100,100}.(0.75)^{100}.(0.25)^{0} = 3.2 \times 10^{-13}

3.2 \times 10^{-13} probability that no one in a simple random sample of 100 young adults owns a landline.

(e) What is the probability that everyone in a simple random sample of 100 young adults owns a landline?

This is P(X = 0), that is, all own. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{100,0}.(0.75)^{0}.(0.25)^{100} = 6.2 \times 10^{-61}

6.2 \times 10^{-61} probability that everyone in a simple random sample of 100 young adults owns a landline.

(f) What is the distribution of the number of young adults in a sample of 100 who do not own a landline?

Binomial, with n = 100, p = 0.75

(g) What is the probability that exactly half the young adults in a simple random sample of 100 do not own a landline?

This is P(X = 50). So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 50) = C_{100,50}.(0.75)^{50}.(0.25)^{50} = 4.5 \times 10^{-8}

4.5 \times 10^{-8} probability that exactly half the young adults in a simple random sample of 100 do not own a landline.

8 0
3 years ago
Each square is one square unit. Sienna uses the same square units to draw a 6 x 2 rectangle and says that it has the same area a
Grace [21]

Answer:

Yes, Sienna is correct because 6 times 2 is 12 and 3 times 4 is 12.

3 0
3 years ago
A can of killa kola contains 3/8 qt. Kyle drinks 6 cans. How much did he drink? Please explain.
nevsk [136]

Answer:

He drank  2¹/₄qt of 6 cans

Step-by-step explanation:

A can of killa kola contains 3/8 qt.

Kyle drinks 6 cans.

asking how much he drank is multipling the quantity in a can by how many cans he drank

Here it is 3/8 x 6 = 18/8 = 9/4 = 2¹/₄qt

6 0
3 years ago
Solve for x.<br>w= x-y+z/5​
Sonja [21]

5w-Z+y=x

Step-by-step explanation:

4 0
4 years ago
Two circles of radii 5 cm and 4 cm intersect at two points and the distance between their centres is 3 cm. Find the length of th
hoa [83]

Answer:

8 cm

Step-by-step explanation:

Two circles of radii 5 cm and 4 cm intersect at two points D and E.

The distance between their centers (points A and C) is 3 cm.

Consider triangle ACD. In this triangle,

AC = 3 cm (distance between centers)

AD = 5 cm (radius of larger circle)

CD = 4 cm (radius of smaller circle)

So, this is right triangle and therefore, AC is the height of isosceles triangle ADE (triangle ADE is isosceles, because AE = AD).

The height of the isosceles triangle drawn to the base is its median, so CD = CE = 4 cm, hence

DE = 4 + 4 = 8 cm

5 0
3 years ago
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